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2141059680 = 253251486847
BaseRepresentation
bin111111110011101…
…1111101001100000
312112012210002201200
41333213133221200
513341102402210
6552242201200
7104025464334
oct17747375140
95465702650
102141059680
119a9632911
124b9053200
13281765b26
141644d77c4
15c7e780c0
hex7f9dfa60

2141059680 has 72 divisors (see below), whose sum is σ = 7306371072. Its totient is φ = 570948864.

The previous prime is 2141059663. The next prime is 2141059691. The reversal of 2141059680 is 869501412.

2141059680 is a `hidden beast` number, since 21 + 41 + 0 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 741984 + ... + 744863.

It is an arithmetic number, because the mean of its divisors is an integer number (101477376).

Almost surely, 22141059680 is an apocalyptic number.

2141059680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141059680 is an abundant number, since it is smaller than the sum of its proper divisors (5165311392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2141059680 is a wasteful number, since it uses less digits than its factorization.

2141059680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486868 (or 1486857 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2141059680 is about 46271.5860977339. The cubic root of 2141059680 is about 1288.8714124111.

The spelling of 2141059680 in words is "two billion, one hundred forty-one million, fifty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1486847 2973694 4460541 5947388 7434235 8921082 11894776 13381623 14868470 17842164 22302705 23789552 26763246 29736940 35684328 44605410 47579104 53526492 59473880 66908115 71368656 89210820 107052984 118947760 133816230 142737312 178421640 214105968 237895520 267632460 356843280 428211936 535264920 713686560 1070529840 2141059680